Author
Stijn François
Bio: Stijn François is an academic researcher from Katholieke Universiteit Leuven. The author has contributed to research in topics: Finite element method & Vibration. The author has an hindex of 20, co-authored 109 publications receiving 1803 citations.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the authors presented the experimental validation of a numerical model for the prediction of train induced vibrations, where the track geometry is assumed to be invariant with respect to the longitudinal direction, allowing for an efficient solution of the dynamic track-soil interaction problem in the frequency-wavenumber domain.
246 citations
TL;DR: In this paper, a 2.5D coupled finite element-boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines is presented.
200 citations
TL;DR: In this article, the effectiveness of a floating slab track for the control of ground-borne vibrations generated by rail transportation systems is studied by means of a three-dimensional numerical model for the prediction of railway induced vibrations that fully accounts for the interaction between the train, the track and the soil.
163 citations
TL;DR: In this article, a 2.5D boundary integral equation is used for the analysis of ground vibrations induced by railway traffic, where the finite element method is combined with a boundary element method.
162 citations
TL;DR: The ElastoDynamics Toolbox (EDT) version 2.1 offers an extensive set of MATLAB functions to model elastodynamic wave propagation in horizontally layered media based on the direct stiffness method and the thin layer method, which are formulated in the frequency-wavenumber domain.
110 citations
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1,604 citations
01 Jan 1971
TL;DR: In this article, the authors deal with the dynamic ASPECTS of the sub-subject: MATHEMATICAL ANALYSIS of systems SUBJECTED to INDEPENDENT VIBRATIONS by means of MATHEATICAL MODELS.
Abstract: PART 1 DEALS WITH THE DYNAMIC ASPECTS OF THE SUBJECT: MATHEMATICAL ANALYSIS OF SYSTEMS SUBJECTED TO INDEPENDENT VIBRATIONS BY MEANS OF MATHEMATICAL MODELS. THE ANALYTICAL SYSTEMS USED ARE NON-LINEAR SYSTEMS, HYDRODYNAMICS AND NUMERICAL METHODS. PART 2 EXAMINES SEISMIC MOVEMENTS, THE DYNAMIC BEHAVIOUR OF STRUCTURES AND THE BASIC CONCEPTS OF THE SEISMIC DESIGN OF STRUCTURES.
675 citations
TL;DR: The theory of residues conformal mapping has been studied in this paper, where the Laplace transformation is used to define a complex variable infinite series in the complex plane, and the calculus of variations analytic functions of the infinite series is studied.
Abstract: Ordinary differential equations of the first order linear differential equations complex numbers and linear algebra simultaneous linear differential equations numerical methods the descriptive theory of nonlinear differential equations mechanical systems and electric circuits Fourier series Fourier integrals and Fourier transforms the Laplace transformation partial differential equations Bessel functions and Legendre polynomials applications and further properties of matrices vector analysis the calculus of variations analytic functions of a complex variable infinite series in the complex plane the theory of residues conformal mapping.
622 citations
01 Jan 2001
TL;DR: The probability of any event is the ratio between the value at which an expectation depending on the happening of the event ought to be computed, and the value of the thing expected upon it’s 2 happening.
Abstract: Problem Given the number of times in which an unknown event has happened and failed: Required the chance that the probability of its happening in a single trial lies somewhere between any two degrees of probability that can be named. SECTION 1 Definition 1. Several events are inconsistent, when if one of them happens, none of the rest can. 2. Two events are contrary when one, or other of them must; and both together cannot happen. 3. An event is said to fail, when it cannot happen; or, which comes to the same thing, when its contrary has happened. 4. An event is said to be determined when it has either happened or failed. 5. The probability of any event is the ratio between the value at which an expectation depending on the happening of the event ought to be computed, and the value of the thing expected upon it’s 2 happening.
368 citations
TL;DR: In this paper, a solution strategy is presented that allows for the evaluation of the second-order statistics of the response due to dynamic excitation based on the power spectral density function of the track unevenness.
258 citations